Select the best answer for the question.
14. Solve for [tex]$x$[/tex] in the equation [tex]$x-4=7$[/tex].
A. [tex]$x=28$[/tex]
B. [tex]$x=11$[/tex]
C. [tex]$x=3$[/tex]
D. [tex]$x=-3$[/tex]
Answer (1)
Add 4 to both sides of the equation x − 4 = 7 .
Simplify the equation to isolate x .
The result is x = 7 + 4 .
Therefore, the solution is x = 11 .
Explanation
Understanding the Problem We are given the equation x − 4 = 7 and asked to solve for x . This means we need to isolate x on one side of the equation.
Isolating x To isolate x , we need to undo the subtraction of 4. We can do this by adding 4 to both sides of the equation. This maintains the equality.
Adding 4 to both sides Adding 4 to both sides, we get: x − 4 + 4 = 7 + 4
Simplifying Simplifying both sides, we have: x = 11
Final Answer Therefore, the solution is x = 11 .
Examples
Imagine you're buying a toy that costs $7, and you only have 4 in yo u r p oc k e t . T h ee q u a t i o n x - 4 = 7 h e lp syo u f i gu reo u t h o w m u c hm ore m o n ey ( x$) you need to buy the toy. By solving the equation, you find out you need an additional $11.
